Centres for near-rings: applications to commutativity theorems

DOI10.1017/S0013091500003618zbMath0418.16021OpenAlexW2047899979MaRDI QIDQ3208829

Howard E. Bell

Publication date: 1980

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500003618

zbMATH Keywords

commutativity theoremcenter of near-ringsdistributively-generated near- ringmultiplicative centreperiodic near-ringstrong common center

Mathematics Subject Classification ID

Near-rings (16Y30) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

• A commutativity study for periodic rings
• Distributively Generated Near-Rings: (I. Ideal Theory)
• A Commutativity Theorem for Near-Rings
• Duo Rings: Some Applications to Commutativity Theorems
• The Additive Group of an Infinite Near-Field is Abelian
• Certain Near-Rings are Rings
• A Generalization of a Theorem of Jacobson III

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